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Finding the Fourth Proportional to 329.48, 454.34 and 246.46

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Solution

The fourth proportional to 329.48, 454.34 and 246.46 is: 339.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.48 : 454.34 = 246.46 : x
  2. Step 2: Convert to fraction form
    329.48/454.34 = 246.46/x
  3. Step 3: Cross multiply
    329.48x = 454.34 × 246.46
  4. Step 4: Simplify right side
    329.48x = 111,973.13
  5. Step 5: Solve for x
    x = 111,973.13/329.48
  6. Step 6: Final answer
    x = 339.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.